We define on a manifold X a wedge product S \wedge T of a closed positive (1,1)-current S, smooth outside a proper analytic subset Y of X, and a positive pluriharmonic (k,k)-current T, when k is less than the codimension of Y. Using this tool, we prove that if M is a compact complex manifold of dimension n \geq 3, which is Kähler outside an irreducible curve, then M carries a balanced metric.
WEDGE PRODUCT OF POSITIVE CURRENTS AND BALANCED MANIFOLDS / Alessandrini, Lucia; Bassanelli, Giovanni. - In: TOHOKU MATHEMATICAL JOURNAL. - ISSN 0040-8735. - 60:(2008), pp. 123-134. [10.2748/tmj/1206734409]
WEDGE PRODUCT OF POSITIVE CURRENTS AND BALANCED MANIFOLDS
ALESSANDRINI, Lucia;BASSANELLI, Giovanni
2008-01-01
Abstract
We define on a manifold X a wedge product S \wedge T of a closed positive (1,1)-current S, smooth outside a proper analytic subset Y of X, and a positive pluriharmonic (k,k)-current T, when k is less than the codimension of Y. Using this tool, we prove that if M is a compact complex manifold of dimension n \geq 3, which is Kähler outside an irreducible curve, then M carries a balanced metric.File in questo prodotto:
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